Summary
A genuine faceless cone is a non-empty linear cone that is open in some linear topology and includes no line. This paper describes all assignments of metrics to genuine faceless cones such that every linear mapping between cones is a contraction.
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W. Noll -J. J. Schäffer,Orders, gauge, and distance in faceless linear cones; with examples relevant to continuum mechanics and relativity, Arch. Rational Mech. Anal.,66 (1977), pp. 345–377; corrigenda,ibid.,68 (1978), pp. 383–384.
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This research was supported in part by National Science Foundation Grant MCS 79-02546.
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Schäffer, J.J. Natural metrics on faceless cones. Annali di Matematica pura ed applicata 127, 173–185 (1981). https://doi.org/10.1007/BF01811723
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DOI: https://doi.org/10.1007/BF01811723